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Finding the Fourth Proportional to 76,997.12, 115,500 and 21,597.44

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Solution

The fourth proportional to 76,997.12, 115,500 and 21,597.44 is: 32,397.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,997.12 : 115,500 = 21,597.44 : x
  2. Step 2: Convert to fraction form
    76,997.12/115,500 = 21,597.44/x
  3. Step 3: Cross multiply
    76,997.12x = 115,500 × 21,597.44
  4. Step 4: Simplify right side
    76,997.12x = 2,494,504,320
  5. Step 5: Solve for x
    x = 2,494,504,320/76,997.12
  6. Step 6: Final answer
    x = 32,397.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.